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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Finitely additive supermartingales are differences of martingales and adapted increasing processes


Author: Thomas E. Armstrong
Journal: Proc. Amer. Math. Soc. 95 (1985), 619-625
MSC: Primary 60G44; Secondary 60G07
MathSciNet review: 810174
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Abstract: It is shown that any nonnegative bounded supermartingale admits a Doob-Meyer decomposition as a difference of a martingale and an adapted increasing process upon appropriate choice of a reference probability measure which may be only finitely additive.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0810174-8
PII: S 0002-9939(1985)0810174-8
Keywords: Martingale, supermartingale, increasing process, finitely additive measure, set function process
Article copyright: © Copyright 1985 American Mathematical Society